What is expand (3x^2-5x)*(2x^3+4x^2-x+2) ?

The solution to expand (3x^2-5x)*(2x^3+4x^2-x+2) is 6x^5+2x^4-23x^3+11x^2-10x

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expand (3x^2-5x)*(2x^3+4x^2-x+2)

expand

(3 x^{2} - 5 x) \cdot (2 x^{3} + 4 x^{2} - x + 2)

6 x^{5} + 2 x^{4} - 23 x^{3} + 11 x^{2} - 10 x

Solution steps

(3 x^{2} - 5 x) (2 x^{3} + 4 x^{2} - x + 2)

Distribute parentheses

= 3 x^{2} \cdot 2 x^{3} + 3 x^{2} \cdot 4 x^{2} + 3 x^{2} (- x) + 3 x^{2} \cdot 2 - 5 x \cdot 2 x^{3} - 5 x \cdot 4 x^{2} - 5 x (- x) - 5 x \cdot 2

Simplify

3 x^{2} \cdot 2 x^{3} + 3 x^{2} \cdot 4 x^{2} + 3 x^{2} (- x) + 3 x^{2} \cdot 2 - 5 x \cdot 2 x^{3} - 5 x \cdot 4 x^{2} - 5 x (- x) - 5 x \cdot 2 : 6 x^{5} + 2 x^{4} - 23 x^{3} + 11 x^{2} - 10 x

= 6 x^{5} + 2 x^{4} - 23 x^{3} + 11 x^{2} - 10 x

49 x^{2}

(2 a + 5 b)^{2}

(x - 3)^{5}

\frac{3}{6}

(2 x - 1) (x + 2)

What is expand (3x^2-5x)*(2x^3+4x^2-x+2) ?
The solution to expand (3x^2-5x)*(2x^3+4x^2-x+2) is 6x^5+2x^4-23x^3+11x^2-10x